Numerical Methods for Engineers - Rilegato

Chapra, Steven; Canale, Raymond

Rilegato

ISBN 10: 0073101567 ISBN 13: 9780073101569

Casa editrice: McGraw-Hill Education, 2005

Riassunto

The fifth edition of Numerical Methods for Engineers continues its tradition of excellence. Instructors love this text because it is a comprehensive text that is easy to teach from. Students love it because it is written for them--with great pedagogy and clear explanations and examples throughout. The text features a broad array of applications, including all engineering disciplines.

The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Users will find use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros.

Approximately 80% of the problems are new or revised for this edition. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering.

Su questo libro

L'autore:

Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.

Contenuti:

Part 1 Modeling, Computers, and Error Analysis

1 Mathematical Modeling and Engineering Problem Solving

2 Programming and Software

3 Approximations and Round-Off Errors

4 Truncation Errors and the Taylor Series

Part 2 Roots of Equations

5 Bracketing Methods

6 Open Methods

7 Roots of Polynomials

8 Case Studies: Roots of Equations

Part 3 Linear Algebraic Equations

9 Gauss Elimination

10 LU Decomposition and Matrix Inversion

11 Special Matrices and Gauss-Seidel

12 Case Studies: Linear Algebraic Equations

Part 4 Optimization

13 One-Dimensional Unconstrained Optimization

14 Multidimensional Unconstrained Optimization

15 Constrained Optimization

16 Case Studies: Optimization

Part 5 Curve Fitting

17 Least-Squares Regression

18 Interpolation

19 Fourier Approximation

20 Case Studies: Curve Fitting

Part 6 Numerical Differentiation and Integration

21 Newton-Cotes Integration Formulas

22 Integration of Equations

23 Numerical Differentiation

24 Case Studies: Numerical Integration and Differentiation

Part 7 Ordinary Differential Equations

25 Runge-Kutta Methods

26 Stiffness and Multistep Methods

27 Boundary-Value and Eigenvalue Problems

28 Case Studies: Ordinary Differential Equations

Part 8 Partial Differential Equations

29 Finite Difference: Elliptic Equations

30 Finite Difference: Parabolic Equations

31 Finite-Element Method

32 Case Studies: Partial Differential Equations

Appendix A The Fourier Series

Appendix B Getting Started with Matlab

Bibliography

Index

Su questa edizione

• Editore: McGraw-Hill Education
• Data di pubblicazione: 2005
• ISBN 10: 0073101567
• ISBN 13: 9780073101569
• Rilegatura: Copertina rigida
• Numero edizione: 5
• Numero di pagine: 926